文献类型：期刊文献

中文题名：The Properties of κ-quasi-*-A(n) Operator

作者：ZUO Fei[1];SHEN Jun-li[2]

第一作者：ZUO Fei

机构：[1]College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007,China;[2]Department of Mathematics, Xinxiang University, Xinxiang 453000, China

第一机构：College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007,China

年份：2012

卷号：27

期号：3

中文期刊名：数学季刊（英文版）

外文期刊名：Chinese Quarterly Journal of Mathematics

基金：the Natural Science Foundation of the Department of Education of Henan Province

语种：英文

外文关键词：κ-quasi-*-A(n) operator;quasisimilarity;single valued extension property;Weyl spectrum;essential approximate point spectrum

摘要：An operator T is called k-quasi-*-A(n) operator,if T*k|T1+n|2/1+nTk ≥T*k|T*|2Tk,k ∈ Z,which is a generalization of quasi-*-A(n) operator.In this paper we prove some properties of k-quasi-*-A(n) operator,such as,if T is a k-quasi-*-A(n) operator and N(T) (∈)N(T*),then its point spectrum and joint point spectrum are identical.Using these results,we also prove that if T is a k-quasi-*-A(n) operator and N(T) (∈) N(T*),then the spectral mapping theorem holds for the Weyl spectrum and for the essential approximate point spectrum.